Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes
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Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes
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Author : Maurice A De Gosson
language : en
Publisher: World Scientific
Release Date : 2017-11-10
Emergence Of The Quantum From The Classical Mathematical Aspects Of Quantum Processes written by Maurice A De Gosson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-10 with Science categories.
The emergence of quantum mechanics from classical world mechanics is now a well-established theme in mathematical physics. This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant α but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.Emergence of the Quantum from the Classical provides help to undergraduate and graduate students of mathematics, physics and quantum theory looking to advance into research in the field.
Emergence Of The Quantum From The Classical
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Author : Maurice A. De Gosson
language : en
Publisher:
Release Date : 2017
Emergence Of The Quantum From The Classical written by Maurice A. De Gosson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with SCIENCE categories.
Quantum Harmonic Analysis
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Author : Maurice A. de Gosson
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-07-05
Quantum Harmonic Analysis written by Maurice A. de Gosson and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-05 with Mathematics categories.
Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential role in the modern formulation of quantum mechanics. This allows us at the same time to suggest some new ideas and methods, with a special focus on topics such as the Wigner phase space formalism and its applications to the theory of the density operator and its entanglement properties. This book can be used with profit by advanced undergraduate students in mathematics and physics, as well as by confirmed researchers.
Picturing Quantum Processes
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Author : Bob Coecke
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-16
Picturing Quantum Processes written by Bob Coecke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-16 with Computers categories.
Quantum phenomena are explained through the language of diagrams, setting out an innovative visual method of presenting complex scientific theories. Focusing on physical intuition over mathematical formalism, and packed with exercises, this unique book is accessible to students and researchers across scientific disciplines, from undergraduate to Ph.D. level.
The Foundations Of Quantum Mechanics
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Author : Claudio Garola
language : en
Publisher: World Scientific
Release Date : 2000
The Foundations Of Quantum Mechanics written by Claudio Garola and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
This volume provides a sample of the present research on the foundations of quantum mechanics and related topics by collecting the papers of the Italian scholars who attended the conference entitled ?The Foundations of Quantum Mechanics ? Historical Analysis and Open Questions? (Lecce, 1998). The perspective of the book is interdisciplinary, and hence philosophical, historical and technical papers are gathered together so as to allow the reader to compare different viewpoints and cultural approaches. Most of the papers confront, directly or indirectly, the objectivity problem, taking into account the positions of the founders of QM or more recent developments. More specifically, the technical papers in the book pay special attention to the interpretation of the experiments on Bell's inequalities and to decoherence theory, but topics on unsharp QM, the consistent-history approach, quantum probability and alternative theories are also discussed. Furthermore, a number of historical and philosophical papers are devoted to Planck's, Weyl's and Pauli's thought, but topics such as quantum ontology, predictivity of quantum laws, etc., are treated.
Are We There Yet The Search For A Theory Of Everything
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Author : Moataz H. Emam
language : en
Publisher: Bentham Science Publishers
Release Date : 2011-03-25
Are We There Yet The Search For A Theory Of Everything written by Moataz H. Emam and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-25 with Science categories.
We live in exciting times. the frontiers of physics have been pushed to unprecedented horizons. the Holy Grail of fundamental physics research today is to find and describe a theory that explains, at least in principle, all physical phenomena, which in turns explains chemistry, biology and other material sciences. This, however, is not without controversy. the current candidate for such a theory is known as string or superstring theory. It suffers from the problem of being a purely mathematical science with no experimental backing and belief in it has been criticized as bordering on "faith" as opposed to scientific scrutiny. On the other hand the recent switching-on of our most advanced experimental tool, the Large Hadron Collider in Switzerland, gives new hope in our search for clues as to what the universe is made of on a fundamental level. What happened exactly on, or even before, the Big Bang? Where are we coming from and where are we going? Questions that have never been addressed before by physicists. the game is afoot and the search is on. This book contains articles by leading physicists describing the current situation. Among them are proponents as well as opponents of string theory, proponents of other ideas, and experimentalists.
The Strange World Of Quantum Mechanics
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Author : Daniel F. Styer
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-24
The Strange World Of Quantum Mechanics written by Daniel F. Styer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-24 with Science categories.
An exceptionally accessible, accurate and non-technical introduction to the core concepts of quantum mechanics.
Quantum Stochastics
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Author : Mou-Hsiung Chang
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-19
Quantum Stochastics written by Mou-Hsiung Chang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-19 with Language Arts & Disciplines categories.
This book provides a systematic, self-contained treatment of the theory of quantum probability and quantum Markov processes for graduate students and researchers. Building a framework that parallels the development of classical probability, it aims to help readers up the steep learning curve of the quantum theory.
Path Integrals And Hamiltonians
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Author : B. E. Baaquie
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-27
Path Integrals And Hamiltonians written by B. E. Baaquie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-27 with Business & Economics categories.
A succinct introduction to the powerful and flexible combination of Hamiltonian operators and path integrals in quantum mathematics, with a practical emphasis on methodological and mathematical aspects. Essential reading for researchers and graduate students in physics, and engineers whose work touches on quantum mechanics.
An Introduction To Quantum Stochastic Calculus
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Author : K.R. Parthasarathy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-13
An Introduction To Quantum Stochastic Calculus written by K.R. Parthasarathy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-13 with Mathematics categories.
An Introduction to Quantum Stochastic Calculus aims to deepen our understanding of the dynamics of systems subject to the laws of chance both from the classical and the quantum points of view and stimulate further research in their unification. This is probably the first systematic attempt to weave classical probability theory into the quantum framework and provides a wealth of interesting features: The origin of Ito’s correction formulae for Brownian motion and the Poisson process can be traced to commutation relations or, equivalently, the uncertainty principle. Quantum stochastic integration enables the possibility of seeing new relationships between fermion and boson fields. Many quantum dynamical semigroups as well as classical Markov semigroups are realised through unitary operator evolutions. The text is almost self-contained and requires only an elementary knowledge of operator theory and probability theory at the graduate level. - - - This is an excellent volume which will be a valuable companion both to those who are already active in the field and those who are new to it. Furthermore there are a large number of stimulating exercises scattered through the text which will be invaluable to students. (Mathematical Reviews) This monograph gives a systematic and self-contained introduction to the Fock space quantum stochastic calculus in its basic form (...) by making emphasis on the mathematical aspects of quantum formalism and its connections with classical probability and by extensive presentation of carefully selected functional analytic material. This makes the book very convenient for a reader with the probability-theoretic orientation, wishing to make acquaintance with wonders of the noncommutative probability, and, more specifcally, for a mathematics student studying this field. (Zentralblatt MATH) Elegantly written, with obvious appreciation for fine points of higher mathematics (...) most notable is [the] author's effort to weave classical probability theory into [a] quantum framework. (The American Mathematical Monthly)